Cyrtologies of Convergences, II: Sequential Convergences
Copyright policy )Cyrtologies of Convergences, II: Sequential Convergences
Based on the cyrtomorphisms (dual: coilomorphisms), studied in part I [see ibid. 126, 327-348 (1986; Zbl 0604.54005)] and on a study of elementary filters, here in part II the authors investigate the relationships between sequential convergences and topologies, pretopologies and pseudotopologies. They characterize topological, pretopological and pseudotopological inducibility, and recover results of Franklin, Kamiński, Antosik, Kantorovich-Vulih-Pinsker-Kisyński-Dolcher and others.
- Polish Academy of Learning Poland
- Polish Academy of Sciences Poland
- Institute of Mathematics Poland
- University of Trento Italy
Urysohn property, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), coilology, cyrtology, Galois correspondences, closure operators (in relation to ordered sets), pretopologies, elementary filters, Sequential spaces, sequential convergences, topological inducibility, Galois connection, pseudotopologies
Urysohn property, Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.), coilology, cyrtology, Galois correspondences, closure operators (in relation to ordered sets), pretopologies, elementary filters, Sequential spaces, sequential convergences, topological inducibility, Galois connection, pseudotopologies
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